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8245665428 = 227111310212017
BaseRepresentation
bin1111010110111101…
…01101111010010100
3210021122200012111212
413223132231322110
5113341342243203
63442113120552
7411222666620
oct75336557224
923248605455
108245665428
113551510530
121721559158
13a153c8890
14583176180
15333d751d8
hex1eb7ade94

8245665428 has 96 divisors (see below), whose sum is σ = 19403021568. Its totient is φ = 2961100800.

The previous prime is 8245665409. The next prime is 8245665437.

8245665428 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4087076 + ... + 4089092.

It is an arithmetic number, because the mean of its divisors is an integer number (202114808).

Almost surely, 28245665428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8245665428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9701510784).

8245665428 is an abundant number, since it is smaller than the sum of its proper divisors (11157356140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8245665428 is a wasteful number, since it uses less digits than its factorization.

8245665428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3071 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The square root of 8245665428 is about 90805.6464543918. The cubic root of 8245665428 is about 2020.2660686026.

The spelling of 8245665428 in words is "eight billion, two hundred forty-five million, six hundred sixty-five thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1021 2002 2017 2042 4004 4034 4084 7147 8068 11231 13273 14119 14294 22187 22462 26221 26546 28238 28588 44374 44924 52442 53092 56476 78617 88748 92911 104884 146003 155309 157234 183547 185822 288431 292006 310618 314468 367094 371644 576862 584012 621236 734188 1022021 1153724 2019017 2044042 2059357 4038034 4088084 4118714 8076068 8237428 14415499 22652927 26771641 28830998 45305854 53543282 57661996 90611708 107086564 158570489 187401487 294488051 317140978 374802974 588976102 634281956 749605948 1177952204 2061416357 4122832714 8245665428